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A body is to be projected vertically upwards from earth's surface to reach a height of `9R`, where `R` is the radius of earth. What is the velocity required to do so? Given `g=10ms^(-2)` and radius of earth`=6.4xx10^(6)m`.

A

`1.073xx10^(4) ms^(-1)`

B

`1.73xx10^(4) ms^(-1)`

C

`10.73xx10^(4) ms^(-1)`

D

`17.3xx10^(4) ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
By the conservation energy,
`(-GMm)/R+1/2mv^(2)=-(GMm)/(10R)+0`
or `(v^(2))/2=-(GM)/(10R)+(GM)/R=(9GM)/(10R)=(9gR^(2))/(10)`
`=1.073xx10^(4) ms^(-1)`
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